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Robust transceiver design against unresolvable system uncertainties is ofcrucial importance for reliable communication. For instance, full-duplexcommunication suffers from such uncertainties when canceling theself-interference, since some residual self-interference (RSI) remainsuncanceled due to imperfect channel knowledge. We consider a MIMO multi-hopsystem, where the source, the relay and the destination are equipped withmultiple antennas. The considered decode-and-forward (DF) hybrid relay canoperate in either half-duplex or full-duplex mode, and the mode changesadaptively depending on the RSI strength. We investigate a robust transceiverdesign problem, which maximizes the throughput rate of the worstcase RSI underthe self-interference channel uncertainty bound constraint. The yielded problemturns out to be a non-convex optimization problem, where the non-convexobjective is optimized over the cone of semidefinite matrices. Without loss ofgenerality, we simplify the problem to the optimization over multiple scalarparameters using majorization theory. Furthermore, we propose an efficientalgorithm to obtain a local optimal solution iteratively. Eventually, we obtaininsights on the optimal antenna allocation at the relay input-frontend andoutput-frontend, for relay reception and transmission, respectively.Interestingly, given a number of antennas at the relay, the robustness improvesif more antennas are allocated to reception than to transmission.

Robust Transceiver Design for Full-Duplex Decode-and-Forward Relay-Assisted MIMO Systems